Arbitration is effective when the parties want someone other than themselves to decide the outcome. Private Arbitration (binding and non-binding) occurs when parties involved in a dispute either agree or are contractually obligated.Arbitration is essentially a paid private trial, in other words, a method to resolve disputes without going to court. The most common forms of ADR are mediation, arbitration, and neutral evaluation. There are a number of other kinds of ADR as well. Who will arbitrate disputes? For example, must you use an arbitrator from the AAA or JAMS? A vacancy in the office of Mayor shall be filled in the manner set forth in Section 2-7 of this Charter.